Please

Q: Calculate the marginal revenue if q = 10. Round your answer to two decimal places. MR = i

A: Topic:- application of derivatives

Q: Explain why the function is discontinuous at the given number a. 1 x + 3 f(x) does not exist. f(x)…

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Q: Identify the type of differential equation (noting the best way to solve them): 4xy + 2x + (2x² +…

A: To identify the type of differential equation.

Q: D3 + 2D2 -5D - 6 ) y= 0

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Q: Find the limit. (If the limit is infinite, enter 'co' or '-co', as appropriate. If the limit does…

A: Given :limx→∞9x-52x+9

Q: Use Theorem 9.11 to determine the convergence or divergence of the p-series 1 1 1 ਲੋਕ · + √3+√4 1 +7

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Q: 17. Find the volume of the solid formed by revolving the region bounded by the graphs of y = y = 2…

A: The region is bounded by y=12x-22 and y=2.

Q: Suppose the Maclaurin series f(x) is f(x) = Find the Maclaurin series for the following. f'(x) =…

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Q: 3 3 (-3,5) 3 لیا 3 2. The figure below shows the graph of the function g and the line tangent to the…

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Q: as ---Select--- as ---Select--- as ---Select--- at (t, y) = at (t, y) = at (t, y) =

A: Topic:- application of derivatives

Q: Consider the piecewise function f(t) 9t² + 5t + 4 4 cos(5t) 59e4t 5 sin(4t) t 12

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Q: 12 TL² (x+y-z) dz dy dx = 9 Nico 27 8 27 2 A O .BO

A: Option b is correct. This is question based on triple integration.

Q: a. Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard…

A: we need to find maximum volume.

Q: Find 3 (4 – x²) ³

A: See the details solution in below

Q: ) through (c) to the right. Ay f(x) 2 20 Jh To -2- OA. -2≤x≤4 OB. x=0 O C. -2≤x<0, 0<x≤4 OD. None b.…

A: Topic:- calculus

Q: The graph of a function is given. Find the approximate coordinates of all points of inflection of…

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Q: Find a general solution to the given equation. y""-5y" + 7y' - 3y=9e + sinx Write a general solution…

A: We need to find out the general solution of the given differential equation.

Q: lim (x-7) cotx X-T

A: To find out the limit.

Q: Supposef is continuous on [1, 8] and differentiable on (1,8). If 12 ≤ f'(x) ≤ 13 for all values of x…

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Q: 3. State the discriminant of 6?^2 − 2? + ?, and state for which values of ? would result in two…

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Q: Evaluate the line integral foF-dr, where F(x, y, z) = -5 sin azi - 4 cos yj - zzk and C is given by…

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Q: 5. Find the arc length of the graph of f(x) = (²3)(x − 8)³/² on the interval [8, 16]. (a) 24 +…

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Q: 2+4x y = f(x) = x² + Find the regions where the function is decreasing/increasing. Find the regions…

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Q: 7 Given the function of f(x) = −2+ on the 4x interval [-8, -2], find a point c between -8 and -2 so…

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Q: Use the given graph to evaluate the following expressions. (a) (f+g)(2) (b) (f-g)(-1) (c) (fg)(0) ¹…

A: Topic = Function

Q: 5) Find the following indefinite integral using the by parts method. [3xe³x dx = Sudv=uv - [vdu So…

A: The objective of the question is evaluate the indefinite integral.

Q: (a) Show that for x ≥ 1, 1 √1+x² 1 > 0. (b) Use part (a) to show that the integral S 1 √1+x²…

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Q: Find dx dx y = secx-7√x + 9

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Q: When a circular plate of metal is heated in an oven, its radius increases ta rate of 0.01 cm/min. At…

A: Using differentiation

Q: Identify the type of differential equation (noting the best way to solve them): y' + ²y = 4x

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Q: Which of the following is a proper substitution for the following Bernoulli's equation? xy'…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Evaluate the integral by interpreting it in terms of areas: 1₁ (3+√81. (3+√81 − x²) dx = -9

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Q: 3) Solve the following using the substitution rule. Show all steps in Find [30x(3x²-1)dx

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Q: 5. Solve as a linear first-order differential equation: y - 2y = x² +5

A: Solution of linear differential equation y'+P(x)y=Q(x) is given by y×IF=∫(Q×IF) dx+C, where IF=e∫Pdx

Q: (i) Use the linear approximation formula or Ay≈ f'(x) Ar f(x+Ax) = f(x) + f'(z) Ar with a suitable…

A: NOTE : Since you have posted multiple questions with multiple subparts, we will provide the solution…

Q: Let u (6,6) and 7 = (-7,4). Compute the following: u v = 1008 v=1008 |||||² = - 3 (u.v) (-3u) v = ú.…

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Q: Write the equation of the tangent line to the curve at the given point. x2 − 3y2 + 72 = 0 at (6, 6)

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Q: Question 3): For any two nonparallel and non orthogonal vectors a and b with angle between them, it…

A: There are two questions and we have to solve both.

Q: C Which of the following integrals represents the volume of the solid formed by revolving the region…

A: As per guidelines we are supposed to answer first three subparts only.

Q: t-2 r(t) = (√√8 — t, ¹-², t cost). et A) Find the domain of r(t). B) lim r(t)=? t→0 c) [ r(t)dt =?

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Q: The vector (1, 0, -7) can be expressed in terms of standard basis vectors as following i-7k. Select…

A: Limit and vector

Q: Give a rule of the piecewise-defined function. Give the domain and the range. What is the rule?…

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Q: Nuclear Fallout  Strontium 90 (Sr-90), a radioactive isotope of strontium, is present in the fallout…

A: Let's find time elapsed.

Q: Evaluate the telescoping series or enter DNE if it diverges. Σ √n +6−√n + 7 = n=1

A: Given query is to find the limit.

Q: The positions of a point (in feet) is given as a function of time t (in seconds). s=-17+t-17t²; t =…

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Q: 2. Solve for the following rates, treating all variables as functions of t (a) Solve for dr dt (b)…

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Q: A spotlight on the ground is shining on a wall 16m away. If a woman 2m tall walks from the spotlight…

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Q: Evaluate the line integral SF dr, where F(x, y, z) = 3xi + 3yj – 4zk and C is given by the vector…

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Q: n a test of 15 questions, ₁ points are awarded for each correct answer while 2 points are deducted…

A: Here given that  x1 points are awarded for each correct answer while x2 points are deducted for…

Q: (a) Show that for x > 0, 0≤ 1 √x+x4 1 x² (b) Use part (a) to show that the integral this integral).…

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